Find the area of the polygon. 2 cm 3 cm 1 cm 3 cm 4 cm

Y+5=9/2(x+7) in standard form

ZanzabumX [31]

Answer:

2x-y=-1

Step-by-step explanation:

y + 9 = 2(x + 5)

y + 9 = 2x + 10 [distribute]

y = 2x + 1 [subtract 9 from both sides]

y - 2x = 1 [subtract 2x from both sides]

-2x + y = 1 [put x first]

2x - y = -1 [multiply by -1 to make x coefficient positive]

7 0

3 years ago

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime

Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

The complete question is

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

so

$\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}$

Part B) Write a congruence statement for each of the four pair of corresponding angles.

we know that

If two figures are similar, then its corresponding angles are congruent

The corresponding angles are

∠A and ∠E

∠B and ∠F

∠C and ∠G

∠D and ∠H

so

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G

∠D ≅ ∠H

Part C) Determine the perimeter for each of the isosceles trapezoids

we have

The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

step 1

Find the measure of CD

Remember that

The ratio between corresponding sides is proportional and this ratio is the scale factor

Let

z ----> the scale factor

$z=\frac{2}{3}$

so

$\frac{2}{3}=\frac{CD}{GH}}$

we have

$GH=6\ cm$

substitute

$\frac{2}{3}=\frac{CD}{6}}\\\\CD=4\ cm$

step 2

Find the measure of AB

Remember that

AB is three times the length of DC

so

$AB=3DC$

$DC=CD=4\ cm$

substitute

$AB=3(4)=12\ cm$

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

so

BC=AD

we have

$AD=8\ cm$

therefore

$BC=8\ cm$

step 4

Find the perimeter of trapezoid ABCD

$P=AB+BC+CD+AD$

substitute the values

$P=12+8+4+8=32\ cm$

step 5

Find the perimeter of trapezoid EFGH

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ---> the scale factor

x ----> the perimeter of trapezoid ABCD

y ----> the perimeter of trapezoid EFGH

so

$z=\frac{x}{y}$

we have

$z=\frac{2}{3}$

$x=32\ cm$

substitute

$\frac{2}{3}=\frac{32}{y}$

$y=32(3)/2=48\ cm$

therefore

The perimeter of trapezoid EFGH is 48 centimeters

3 0

3 years ago

A circle has a circumference of 42 in.what is the area of the circle

Solnce55 [7]

Answer:

140.37 in²

Step-by-step explanation:

C = 2πr

42 = 2πr

21 = πr

r = 21/π

A = πr²

A = π × (21/π)²

≈ 140.37 in²

3 0

3 years ago

Read 2 more answers

Which one is distributive property

faust18 [17]

Answer:

G

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How to find the area of a tilted square?

Katena32 [7]

A square has 4 sides of equal legnths
in your point of view, it looks tilted because it is actually a rhombus, a paralellogram (4 sided figure with 2 pairs of paralell sides) with 4 equal sides

to find the area, just multiply base by height (look at ilustration/attachmtns)

3 0

3 years ago